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Finding the Fourth Proportional to 1,163.03, 1,743.66 and 700.70

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Solution

The fourth proportional to 1,163.03, 1,743.66 and 700.70 is: 1,050.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.03 : 1,743.66 = 700.70 : x
  2. Step 2: Convert to fraction form
    1,163.03/1,743.66 = 700.70/x
  3. Step 3: Cross multiply
    1,163.03x = 1,743.66 × 700.70
  4. Step 4: Simplify right side
    1,163.03x = 1,221,773.84
  5. Step 5: Solve for x
    x = 1,221,773.84/1,163.03
  6. Step 6: Final answer
    x = 1,050.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.